The logarithmic law of random determinant Bao, Zhigang ; https://orcid.org/0000-0003-3036-1475 Pan, Guangming Zhou, Wang Consider the square random matrix An = (aij)n,n, where {aij:= a(n)ij , i, j = 1, . . . , n} is a collection of independent real random variables with means zero and variances one. Under the additional moment condition supn max1≤i,j ≤n Ea4ij &lt;∞, we prove Girko's logarithmic law of det An in the sense that as n→∞ log | detAn| ? (1/2) log(n-1)! d/→√(1/2) log n N(0, 1). Bernoulli Society for Mathematical Statistics and Probability 2015 info:eu-repo/semantics/article doc-type:article text http://purl.org/coar/resource_type/c_2df8fbb1 https://research-explorer.ista.ac.at/record/1506 Bao Z, Pan G, Zhou W. The logarithmic law of random determinant. <i>Bernoulli</i>. 2015;21(3):1600-1628. doi:<a href="https://doi.org/10.3150/14-BEJ615">10.3150/14-BEJ615</a> eng info:eu-repo/semantics/altIdentifier/doi/10.3150/14-BEJ615 info:eu-repo/semantics/altIdentifier/wos/000356993100012 info:eu-repo/semantics/altIdentifier/arxiv/1208.5823 info:eu-repo/semantics/openAccess